6.1 Consider a simultaneous game in which player A chooses one of two actions (Up or Down), and B chooses one of two actions (Left or Right). The game.

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6.1 Consider a simultaneous game in which player A chooses one of two actions (Up or Down), and B chooses one of two actions (Left or Right). The game has the following payoff matrix, where the first payoff in each entry is for A and the second for B. Find the Nash equilibrium or equilibria. Which player, if any, has a dominant strategy? B Left Right Up 3 , 3 3 , 1 2 , 2 4 , 4 A Down

6.8 Find the pure-strategy Nash equilibrium or equlibria of the following game with three actions for each player. B Left Center Right 4 , 3 5 , -1 6 , 2 2 , 1 7 , 4 3 , 6 3 , 0 9 , 6 0 , 8 Up A Middle Down